A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3.6. Which mileage is within a z-score of 1.5?

34.4 miles

Step-by-step explanation:

Mathematically;

z-score = x-mean/SD

from the question, we have mean as 29 and standard deviation as 3.6 with z-score as 1.5

So we need to find the z-score here

1.5 = x-29/3.6

3.6 * 1.5 = x-29

5.4 = x-29

x = 29 + 5.4

x = 34.4

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.